Question

If tan theta = -5\12, evaluate sin theta-cos theta\sin theta + cos theta

Answer 1

Step-by-step explanation:

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Answer 2

tanθ= perpendicular/base

we are given that tanθ= -5/12

on Comparing

p=5

b=12

by p. g. t

H

${h}^{2} = {p }^{2} + {b}^{2}$

h^2= 5^2++12^2

h^2=√5^2+12^2

h^2=√25+144

h^2=√169

h^2=√13×13

h^2=13

sin theta=p/h=5/13

cos theta=b/h=12/13

so, sin theta +cos theta/ sin theta-cos theta

12/13+5/13/12/13-5/13=17/7